GLASS CLASSIFICATION DATA SET¶
In [ ]:
import pandas as pd
import numpy as np
from sklearn.preprocessing import StandardScaler
from sklearn.cluster import KMeans
import matplotlib.pyplot as plt
import seaborn as sns
from IPython.display import display
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeClassifier, plot_tree
from sklearn.metrics import classification_report, confusion_matrix, accuracy_score
In [3]:
df = pd.read_csv("C:\\Users\\Sofiya sultana\\Downloads\\glass.csv")
df.head()
Out[3]:
| RI | Na | Mg | Al | Si | K | Ca | Ba | Fe | Type | |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1.52101 | 13.64 | 4.49 | 1.10 | 71.78 | 0.06 | 8.75 | 0.0 | 0.0 | 1 |
| 1 | 1.51761 | 13.89 | 3.60 | 1.36 | 72.73 | 0.48 | 7.83 | 0.0 | 0.0 | 1 |
| 2 | 1.51618 | 13.53 | 3.55 | 1.54 | 72.99 | 0.39 | 7.78 | 0.0 | 0.0 | 1 |
| 3 | 1.51766 | 13.21 | 3.69 | 1.29 | 72.61 | 0.57 | 8.22 | 0.0 | 0.0 | 1 |
| 4 | 1.51742 | 13.27 | 3.62 | 1.24 | 73.08 | 0.55 | 8.07 | 0.0 | 0.0 | 1 |
In [4]:
from sklearn.preprocessing import StandardScaler
from sklearn.cluster import KMeans
import pandas as pd
features = ['RI', 'Na', 'Mg', 'Al', 'Si', 'K', 'Ca', 'Ba', 'Fe']
target = 'Type' if 'Type' in df.columns else [c for c in df.columns if c not in features + ['Id']][0]
X_scaled = StandardScaler().fit_transform(df[features])
seed_sets = [
[5, 25, 45, 65, 85, 105], [10, 30, 50, 70, 90, 110], [15, 35, 55, 75, 95, 115],
[20, 40, 60, 80, 100, 120], [25, 45, 65, 85, 105, 125], [30, 50, 70, 90, 110, 130],
[35, 55, 75, 95, 115, 135], [40, 60, 80, 100, 120, 140], [45, 65, 85, 105, 125, 145],
[50, 70, 90, 110, 130, 150]
]
for i, seeds in enumerate(seed_sets, 1):
kmeans = KMeans(n_clusters=6, init=X_scaled[seeds], n_init=1, random_state=42).fit(X_scaled)
df_temp = df.copy()
df_temp['Cluster'] = kmeans.labels_
counts = pd.crosstab(df_temp[target], df_temp['Cluster'], margins=True, margins_name='Total')
percents = counts.div(counts.loc['Total'], axis=1).mul(100).round(1)
combined = counts.astype(str) + ' (' + percents.astype(str) + '%)'
print(f"\n{'='*80}\nSeed Set {i} {seeds} Distribution:\n{combined}")
print(counts.to_string())
================================================================================ Seed Set 1 [5, 25, 45, 65, 85, 105] Distribution: Cluster 0 1 2 3 4 \ Type 1 11 (32.4%) 39 (37.5%) 0 (0.0%) 20 (54.1%) 0 (0.0%) 2 18 (52.9%) 45 (43.3%) 0 (0.0%) 6 (16.2%) 0 (0.0%) 3 3 (8.8%) 12 (11.5%) 0 (0.0%) 2 (5.4%) 0 (0.0%) 5 2 (5.9%) 6 (5.8%) 3 (60.0%) 2 (5.4%) 0 (0.0%) 6 0 (0.0%) 1 (1.0%) 0 (0.0%) 4 (10.8%) 4 (14.8%) 7 0 (0.0%) 1 (1.0%) 2 (40.0%) 3 (8.1%) 23 (85.2%) Total 34 (100.0%) 104 (100.0%) 5 (100.0%) 37 (100.0%) 27 (100.0%) Cluster 5 Total Type 1 0 (0.0%) 70 (32.7%) 2 7 (100.0%) 76 (35.5%) 3 0 (0.0%) 17 (7.9%) 5 0 (0.0%) 13 (6.1%) 6 0 (0.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 7 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 11 39 0 20 0 0 70 2 18 45 0 6 0 7 76 3 3 12 0 2 0 0 17 5 2 6 3 2 0 0 13 6 0 1 0 4 4 0 9 7 0 1 2 3 23 0 29 Total 34 104 5 37 27 7 214 ================================================================================ Seed Set 2 [10, 30, 50, 70, 90, 110] Distribution: Cluster 0 1 2 3 4 \ Type 1 0 (0.0%) 38 (37.6%) 20 (57.1%) 0 (0.0%) 12 (32.4%) 2 0 (0.0%) 43 (42.6%) 6 (17.1%) 0 (0.0%) 20 (54.1%) 3 0 (0.0%) 12 (11.9%) 2 (5.7%) 0 (0.0%) 3 (8.1%) 5 2 (100.0%) 4 (4.0%) 0 (0.0%) 1 (3.6%) 2 (5.4%) 6 0 (0.0%) 2 (2.0%) 4 (11.4%) 3 (10.7%) 0 (0.0%) 7 0 (0.0%) 2 (2.0%) 3 (8.6%) 24 (85.7%) 0 (0.0%) Total 2 (100.0%) 101 (100.0%) 35 (100.0%) 28 (100.0%) 37 (100.0%) Cluster 5 Total Type 1 0 (0.0%) 70 (32.7%) 2 7 (63.6%) 76 (35.5%) 3 0 (0.0%) 17 (7.9%) 5 4 (36.4%) 13 (6.1%) 6 0 (0.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 11 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 0 38 20 0 12 0 70 2 0 43 6 0 20 7 76 3 0 12 2 0 3 0 17 5 2 4 0 1 2 4 13 6 0 2 4 3 0 0 9 7 0 2 3 24 0 0 29 Total 2 101 35 28 37 11 214 ================================================================================ Seed Set 3 [15, 35, 55, 75, 95, 115] Distribution: Cluster 0 1 2 3 4 \ Type 1 0 (0.0%) 38 (40.4%) 12 (33.3%) 0 (0.0%) 0 (0.0%) 2 3 (18.8%) 42 (44.7%) 20 (55.6%) 0 (0.0%) 7 (100.0%) 3 0 (0.0%) 12 (12.8%) 3 (8.3%) 0 (0.0%) 0 (0.0%) 5 9 (56.2%) 0 (0.0%) 1 (2.8%) 3 (10.3%) 0 (0.0%) 6 3 (18.8%) 2 (2.1%) 0 (0.0%) 1 (3.4%) 0 (0.0%) 7 1 (6.2%) 0 (0.0%) 0 (0.0%) 25 (86.2%) 0 (0.0%) Total 16 (100.0%) 94 (100.0%) 36 (100.0%) 29 (100.0%) 7 (100.0%) Cluster 5 Total Type 1 20 (62.5%) 70 (32.7%) 2 4 (12.5%) 76 (35.5%) 3 2 (6.2%) 17 (7.9%) 5 0 (0.0%) 13 (6.1%) 6 3 (9.4%) 9 (4.2%) 7 3 (9.4%) 29 (13.6%) Total 32 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 0 38 12 0 0 20 70 2 3 42 20 0 7 4 76 3 0 12 3 0 0 2 17 5 9 0 1 3 0 0 13 6 3 2 0 1 0 3 9 7 1 0 0 25 0 3 29 Total 16 94 36 29 7 32 214 ================================================================================ Seed Set 4 [20, 40, 60, 80, 100, 120] Distribution: Cluster 0 1 2 3 4 \ Type 1 11 (40.7%) 19 (51.4%) 12 (36.4%) 0 (0.0%) 7 (36.8%) 2 13 (48.1%) 9 (24.3%) 11 (33.3%) 0 (0.0%) 10 (52.6%) 3 3 (11.1%) 2 (5.4%) 2 (6.1%) 0 (0.0%) 0 (0.0%) 5 0 (0.0%) 5 (13.5%) 3 (9.1%) 3 (10.3%) 2 (10.5%) 6 0 (0.0%) 1 (2.7%) 3 (9.1%) 1 (3.4%) 0 (0.0%) 7 0 (0.0%) 1 (2.7%) 2 (6.1%) 25 (86.2%) 0 (0.0%) Total 27 (100.0%) 37 (100.0%) 33 (100.0%) 29 (100.0%) 19 (100.0%) Cluster 5 Total Type 1 21 (30.4%) 70 (32.7%) 2 33 (47.8%) 76 (35.5%) 3 10 (14.5%) 17 (7.9%) 5 0 (0.0%) 13 (6.1%) 6 4 (5.8%) 9 (4.2%) 7 1 (1.4%) 29 (13.6%) Total 69 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 11 19 12 0 7 21 70 2 13 9 11 0 10 33 76 3 3 2 2 0 0 10 17 5 0 5 3 3 2 0 13 6 0 1 3 1 0 4 9 7 0 1 2 25 0 1 29 Total 27 37 33 29 19 69 214 ================================================================================ Seed Set 5 [25, 45, 65, 85, 105, 125] Distribution: Cluster 0 1 2 3 4 \ Type 1 38 (38.0%) 0 (0.0%) 20 (55.6%) 0 (0.0%) 0 (0.0%) 2 42 (42.0%) 0 (0.0%) 6 (16.7%) 0 (0.0%) 7 (87.5%) 3 12 (12.0%) 0 (0.0%) 2 (5.6%) 0 (0.0%) 0 (0.0%) 5 6 (6.0%) 3 (60.0%) 1 (2.8%) 0 (0.0%) 1 (12.5%) 6 1 (1.0%) 0 (0.0%) 4 (11.1%) 4 (14.8%) 0 (0.0%) 7 1 (1.0%) 2 (40.0%) 3 (8.3%) 23 (85.2%) 0 (0.0%) Total 100 (100.0%) 5 (100.0%) 36 (100.0%) 27 (100.0%) 8 (100.0%) Cluster 5 Total Type 1 12 (31.6%) 70 (32.7%) 2 21 (55.3%) 76 (35.5%) 3 3 (7.9%) 17 (7.9%) 5 2 (5.3%) 13 (6.1%) 6 0 (0.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 38 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 38 0 20 0 0 12 70 2 42 0 6 0 7 21 76 3 12 0 2 0 0 3 17 5 6 3 1 0 1 2 13 6 1 0 4 4 0 0 9 7 1 2 3 23 0 0 29 Total 100 5 36 27 8 38 214 ================================================================================ Seed Set 6 [30, 50, 70, 90, 110, 130] Distribution: Cluster 0 1 2 3 4 \ Type 1 38 (39.2%) 20 (71.4%) 0 (0.0%) 12 (33.3%) 0 (0.0%) 2 42 (43.3%) 3 (10.7%) 0 (0.0%) 20 (55.6%) 7 (100.0%) 3 12 (12.4%) 2 (7.1%) 0 (0.0%) 3 (8.3%) 0 (0.0%) 5 2 (2.1%) 0 (0.0%) 1 (3.8%) 1 (2.8%) 0 (0.0%) 6 1 (1.0%) 0 (0.0%) 1 (3.8%) 0 (0.0%) 0 (0.0%) 7 2 (2.1%) 3 (10.7%) 24 (92.3%) 0 (0.0%) 0 (0.0%) Total 97 (100.0%) 28 (100.0%) 26 (100.0%) 36 (100.0%) 7 (100.0%) Cluster 5 Total Type 1 0 (0.0%) 70 (32.7%) 2 4 (20.0%) 76 (35.5%) 3 0 (0.0%) 17 (7.9%) 5 9 (45.0%) 13 (6.1%) 6 7 (35.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 20 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 38 20 0 12 0 0 70 2 42 3 0 20 7 4 76 3 12 2 0 3 0 0 17 5 2 0 1 1 0 9 13 6 1 0 1 0 0 7 9 7 2 3 24 0 0 0 29 Total 97 28 26 36 7 20 214 ================================================================================ Seed Set 7 [35, 55, 75, 95, 115, 135] Distribution: Cluster 0 1 2 3 4 \ Type 1 35 (37.2%) 0 (0.0%) 0 (0.0%) 0 (0.0%) 23 (63.9%) 2 42 (44.7%) 9 (52.9%) 0 (0.0%) 0 (0.0%) 5 (13.9%) 3 12 (12.8%) 0 (0.0%) 0 (0.0%) 0 (0.0%) 2 (5.6%) 5 2 (2.1%) 7 (41.2%) 3 (60.0%) 0 (0.0%) 0 (0.0%) 6 2 (2.1%) 1 (5.9%) 0 (0.0%) 3 (11.5%) 3 (8.3%) 7 1 (1.1%) 0 (0.0%) 2 (40.0%) 23 (88.5%) 3 (8.3%) Total 94 (100.0%) 17 (100.0%) 5 (100.0%) 26 (100.0%) 36 (100.0%) Cluster 5 Total Type 1 12 (33.3%) 70 (32.7%) 2 20 (55.6%) 76 (35.5%) 3 3 (8.3%) 17 (7.9%) 5 1 (2.8%) 13 (6.1%) 6 0 (0.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 36 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 35 0 0 0 23 12 70 2 42 9 0 0 5 20 76 3 12 0 0 0 2 3 17 5 2 7 3 0 0 1 13 6 2 1 0 3 3 0 9 7 1 0 2 23 3 0 29 Total 94 17 5 26 36 36 214 ================================================================================ Seed Set 8 [40, 60, 80, 100, 120, 140] Distribution: Cluster 0 1 2 3 4 \ Type 1 24 (41.4%) 14 (40.0%) 0 (0.0%) 11 (34.4%) 21 (36.8%) 2 25 (43.1%) 13 (37.1%) 0 (0.0%) 16 (50.0%) 22 (38.6%) 3 3 (5.2%) 2 (5.7%) 0 (0.0%) 3 (9.4%) 9 (15.8%) 5 5 (8.6%) 3 (8.6%) 3 (60.0%) 2 (6.2%) 0 (0.0%) 6 0 (0.0%) 1 (2.9%) 0 (0.0%) 0 (0.0%) 4 (7.0%) 7 1 (1.7%) 2 (5.7%) 2 (40.0%) 0 (0.0%) 1 (1.8%) Total 58 (100.0%) 35 (100.0%) 5 (100.0%) 32 (100.0%) 57 (100.0%) Cluster 5 Total Type 1 0 (0.0%) 70 (32.7%) 2 0 (0.0%) 76 (35.5%) 3 0 (0.0%) 17 (7.9%) 5 0 (0.0%) 13 (6.1%) 6 4 (14.8%) 9 (4.2%) 7 23 (85.2%) 29 (13.6%) Total 27 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 24 14 0 11 21 0 70 2 25 13 0 16 22 0 76 3 3 2 0 3 9 0 17 5 5 3 3 2 0 0 13 6 0 1 0 0 4 4 9 7 1 2 2 0 1 23 29 Total 58 35 5 32 57 27 214 ================================================================================ Seed Set 9 [45, 65, 85, 105, 125, 145] Distribution: Cluster 0 1 2 3 4 \ Type 1 0 (0.0%) 20 (54.1%) 0 (0.0%) 0 (0.0%) 39 (37.5%) 2 0 (0.0%) 6 (16.2%) 0 (0.0%) 7 (100.0%) 45 (43.3%) 3 0 (0.0%) 2 (5.4%) 0 (0.0%) 0 (0.0%) 12 (11.5%) 5 3 (60.0%) 2 (5.4%) 0 (0.0%) 0 (0.0%) 6 (5.8%) 6 0 (0.0%) 4 (10.8%) 4 (14.8%) 0 (0.0%) 1 (1.0%) 7 2 (40.0%) 3 (8.1%) 23 (85.2%) 0 (0.0%) 1 (1.0%) Total 5 (100.0%) 37 (100.0%) 27 (100.0%) 7 (100.0%) 104 (100.0%) Cluster 5 Total Type 1 11 (32.4%) 70 (32.7%) 2 18 (52.9%) 76 (35.5%) 3 3 (8.8%) 17 (7.9%) 5 2 (5.9%) 13 (6.1%) 6 0 (0.0%) 9 (4.2%) 7 0 (0.0%) 29 (13.6%) Total 34 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 0 20 0 0 39 11 70 2 0 6 0 7 45 18 76 3 0 2 0 0 12 3 17 5 3 2 0 0 6 2 13 6 0 4 4 0 1 0 9 7 2 3 23 0 1 0 29 Total 5 37 27 7 104 34 214 ================================================================================ Seed Set 10 [50, 70, 90, 110, 130, 150] Distribution: Cluster 0 1 2 3 4 \ Type 1 20 (74.1%) 0 (0.0%) 12 (32.4%) 0 (0.0%) 0 (0.0%) 2 2 (7.4%) 0 (0.0%) 21 (56.8%) 7 (100.0%) 4 (20.0%) 3 2 (7.4%) 0 (0.0%) 3 (8.1%) 0 (0.0%) 0 (0.0%) 5 0 (0.0%) 1 (3.8%) 1 (2.7%) 0 (0.0%) 9 (45.0%) 6 0 (0.0%) 1 (3.8%) 0 (0.0%) 0 (0.0%) 7 (35.0%) 7 3 (11.1%) 24 (92.3%) 0 (0.0%) 0 (0.0%) 0 (0.0%) Total 27 (100.0%) 26 (100.0%) 37 (100.0%) 7 (100.0%) 20 (100.0%) Cluster 5 Total Type 1 38 (39.2%) 70 (32.7%) 2 42 (43.3%) 76 (35.5%) 3 12 (12.4%) 17 (7.9%) 5 2 (2.1%) 13 (6.1%) 6 1 (1.0%) 9 (4.2%) 7 2 (2.1%) 29 (13.6%) Total 97 (100.0%) 214 (100.0%) Cluster 0 1 2 3 4 5 Total Type 1 20 0 12 0 0 38 70 2 2 0 21 7 4 42 76 3 2 0 3 0 0 12 17 5 0 1 1 0 9 2 13 6 0 1 0 0 7 1 9 7 3 24 0 0 0 2 29 Total 27 26 37 7 20 97 214
AVERAGE FOR ALL 10 SEEDS¶
In [5]:
import pandas as pd
import numpy as np
from sklearn.cluster import KMeans
from sklearn.preprocessing import StandardScaler
features = ['RI', 'Na', 'Mg', 'Al', 'Si', 'K', 'Ca', 'Ba', 'Fe']
target = 'Type' if 'Type' in df.columns else next(c for c in df.columns if c not in features + ['Id'])
X_scaled = StandardScaler().fit_transform(df[features])
seed_sets = [
[5, 25, 45, 65, 85, 105], [1, 30, 50, 70, 90, 110], [2, 20, 40, 60, 80, 100],
[3, 23, 47, 67, 87, 107], [4, 27, 42, 62, 82, 102], [6, 26, 46, 66, 86, 106],
[7, 28, 48, 68, 88, 108], [8, 29, 49, 69, 89, 109], [9, 22, 41, 61, 81, 101],
[10, 24, 44, 64, 84, 104]
]
counts, percents = [], []
for seeds in seed_sets:
kmeans = KMeans(n_clusters=6, init=X_scaled[seeds], n_init=1, random_state=42).fit(X_scaled)
df_temp = df.copy()
df_temp['Cluster'] = kmeans.labels_
c = pd.crosstab(df_temp[target], df_temp['Cluster'])
p = c.div(c.sum(axis=0).replace(0, np.nan), axis=1).mul(100).round(1).fillna(0)
counts.append(c)
percents.append(p)
avg_counts = pd.concat([m.stack() for m in counts], axis=1).mean(axis=1).unstack().round().astype(int)
avg_percents = pd.concat([m.stack() for m in percents], axis=1).mean(axis=1).unstack().round(1)
total_samples = len(df)
final = pd.DataFrame({f'Cluster {col}': avg_counts[col].astype(str) + ' (' + avg_percents[col].astype(str) + '%)'
for col in avg_counts.columns})
row_sum = avg_counts.sum(axis=1)
final['Total'] = row_sum.astype(str) + ' (' + (row_sum / total_samples * 100).round(1).astype(str) + '%)'
col_sum = avg_counts.sum(axis=0)
final.loc['Total'] = [f"{col_sum[col]} ({(col_sum[col] / total_samples * 100).round(1)}%)" for col in avg_counts.columns] + [f"{total_samples} (100.0%)"]
print(final)
Cluster 0 Cluster 1 Cluster 2 Cluster 3 Cluster 4 Cluster 5 \
Type
1 17 (29.4%) 25 (34.0%) 12 (33.9%) 12 (32.5%) 2 (6.3%) 2 (6.7%)
2 20 (36.6%) 26 (33.8%) 9 (21.0%) 9 (36.4%) 4 (10.8%) 8 (70.7%)
3 6 (9.5%) 6 (7.0%) 3 (7.0%) 2 (4.5%) 0 (1.4%) 1 (1.8%)
5 1 (1.4%) 4 (14.8%) 2 (14.6%) 2 (9.7%) 2 (16.6%) 3 (17.7%)
6 2 (5.0%) 2 (4.0%) 2 (6.0%) 2 (4.5%) 1 (4.6%) 0 (3.0%)
7 5 (18.0%) 1 (6.3%) 4 (17.5%) 4 (12.4%) 15 (60.2%) 0 (0.0%)
Total 51 (23.8%) 64 (29.9%) 32 (15.0%) 31 (14.5%) 24 (11.2%) 14 (6.5%)
Total
Type
1 70 (32.7%)
2 76 (35.5%)
3 18 (8.4%)
5 14 (6.5%)
6 9 (4.2%)
7 29 (13.6%)
Total 214 (100.0%)
CO OCCURENCE MATRIX FOR 10 DIFFERENT SEEDS¶
In [6]:
# Placeholder to store co-occurrence matrices
co_occurrence_matrices = []
# Run KMeans with 10 different seeds
for seed in range(10):
# Apply KMeans clustering
kmeans = KMeans(n_clusters=6, n_init=10, random_state=seed)
labels = kmeans.fit_predict(X_scaled)
# Create labeled co-occurrence matrix
co_matrix = np.where(np.equal.outer(labels, labels), labels[:, None] + 1, 0)
# Convert to DataFrame with S0 to S213
co_matrix_df = pd.DataFrame(co_matrix,
index=[f"S{i}" for i in range(len(labels))],
columns=[f"S{j}" for j in range(len(labels))])
# Append to list
co_occurrence_matrices.append((seed, co_matrix_df))
print(f"\n=== Co-occurrence Matrix for Seed {seed} ===")
print(co_matrix_df.to_string())
=== Co-occurrence Matrix for Seed 0 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
S0 5 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 5 5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 5 5 0 0 0 5 0 5 0 5 5 5 5 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 5 0 5 0 0 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
S2 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
S3 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
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=== Co-occurrence Matrix for Seed 1 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
S0 6 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 6 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 6 0 0 0 6 0 6 0 6 6 6 6 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 6 0 6 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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=== Co-occurrence Matrix for Seed 2 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
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S210 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4
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S212 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4
S213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4
=== Co-occurrence Matrix for Seed 3 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
S0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S1 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
S2 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
S3 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
S4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
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S9 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
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S12 0 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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=== Co-occurrence Matrix for Seed 4 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
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=== Co-occurrence Matrix for Seed 5 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
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=== Co-occurrence Matrix for Seed 6 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
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=== Co-occurrence Matrix for Seed 7 ===
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=== Co-occurrence Matrix for Seed 8 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
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S206 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S209 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S210 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S212 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
S213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5
=== Co-occurrence Matrix for Seed 9 ===
S0 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 S13 S14 S15 S16 S17 S18 S19 S20 S21 S22 S23 S24 S25 S26 S27 S28 S29 S30 S31 S32 S33 S34 S35 S36 S37 S38 S39 S40 S41 S42 S43 S44 S45 S46 S47 S48 S49 S50 S51 S52 S53 S54 S55 S56 S57 S58 S59 S60 S61 S62 S63 S64 S65 S66 S67 S68 S69 S70 S71 S72 S73 S74 S75 S76 S77 S78 S79 S80 S81 S82 S83 S84 S85 S86 S87 S88 S89 S90 S91 S92 S93 S94 S95 S96 S97 S98 S99 S100 S101 S102 S103 S104 S105 S106 S107 S108 S109 S110 S111 S112 S113 S114 S115 S116 S117 S118 S119 S120 S121 S122 S123 S124 S125 S126 S127 S128 S129 S130 S131 S132 S133 S134 S135 S136 S137 S138 S139 S140 S141 S142 S143 S144 S145 S146 S147 S148 S149 S150 S151 S152 S153 S154 S155 S156 S157 S158 S159 S160 S161 S162 S163 S164 S165 S166 S167 S168 S169 S170 S171 S172 S173 S174 S175 S176 S177 S178 S179 S180 S181 S182 S183 S184 S185 S186 S187 S188 S189 S190 S191 S192 S193 S194 S195 S196 S197 S198 S199 S200 S201 S202 S203 S204 S205 S206 S207 S208 S209 S210 S211 S212 S213
S0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S1 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S2 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S3 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S4 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S5 0 0 0 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S6 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S7 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S8 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S9 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S10 0 0 0 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S11 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S12 0 0 0 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S13 0 0 0 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S14 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S15 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S16 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
S17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
S19 0 3 3 3 3 0 3 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 3 0 0 3 3 3 0 0 3 0 0 0 3 0 0 3 3 3 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 0 3 3 3 0 0 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 0 3 3 0 3 3 3 0 3 0 0 0 0 0 3 0 3 0 0 3 3 3 3 0 0 3 0 0 3 3 3 3 0 0 3 3 3 3 3 0 3 3 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
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S212 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2
S213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2
co-consensus for one random seed¶
In [15]:
seed = 42 # Any single seed
kmeans = KMeans(n_clusters=6, n_init=10, random_state=seed)
cluster_labels = kmeans.fit_predict(X_scaled)
# STEP 4: Summary table with totals
if not isinstance(y_true, pd.Series):
y_true = pd.Series(y_true, name="True Label")
# Crosstab
summary_df = pd.crosstab(index=y_true, columns=cluster_labels,
rownames=["True Label (Type)"], colnames=["Cluster"])
summary_df = summary_df.reindex(columns=range(6), fill_value=0)
# Add row totals
summary_df['Total'] = summary_df.sum(axis=1)
# Add column totals
summary_df.loc['Total'] = summary_df.sum()
# STEP 5: Display result
print("=== True Labels vs Clusters (Single Seed) ===")
print(summary_df)
=== True Labels vs Clusters (Single Seed) === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 12 0 23 35 0 0 70 2 21 0 6 42 7 0 76 3 3 0 2 12 0 0 17 5 2 1 3 5 0 2 13 6 0 2 6 1 0 0 9 7 0 24 3 2 0 0 29 Total 38 27 43 97 7 2 214
co-consensus for 10 different seeds¶
In [7]:
import numpy as np
import pandas as pd
from sklearn.cluster import KMeans
from sklearn.preprocessing import StandardScaler
# --- Step 1: Load Glass dataset ---
url = "https://archive.ics.uci.edu/ml/machine-learning-databases/glass/glass.data"
cols = ["Id", "RI", "Na", "Mg", "Al", "Si", "K", "Ca", "Ba", "Fe", "Type"]
df = pd.read_csv(url, names=cols)
# --- Step 2: Prepare features and target ---
X = df.drop(columns=["Id", "Type"])
y_true = df["Type"]
# --- Step 3: Standardize the features ---
scaler = StandardScaler()
X_scaled = scaler.fit_transform(X)
# --- Step 4: Perform KMeans 10 times with different seeds ---
n_clusters = 6 # Glass has 6 types
for seed in range(10):
kmeans = KMeans(n_clusters=n_clusters, n_init=10, random_state=seed)
cluster_labels = kmeans.fit_predict(X_scaled)
# --- Step 5: Summary table ---
summary_df = pd.crosstab(index=y_true, columns=cluster_labels,
rownames=["True Label (Type)"], colnames=["Cluster"])
summary_df = summary_df.reindex(columns=range(n_clusters), fill_value=0)
# Add row totals
summary_df['Total'] = summary_df.sum(axis=1)
# Add column totals
summary_df.loc['Total'] = summary_df.sum()
# --- Step 6: Display ---
print(f"\n=== Run {seed+1}/10 - True Labels vs Cluster Assignments ===")
print(summary_df)
print("=" * 100)
=== Run 1/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 35 0 0 0 23 12 70 2 43 7 0 0 6 20 76 3 12 0 0 0 2 3 17 5 2 7 1 2 0 1 13 6 2 0 2 0 5 0 9 7 2 0 24 0 3 0 29 Total 96 14 27 2 39 36 214 ==================================================================================================== === Run 2/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 0 35 0 0 12 23 70 2 0 43 0 7 20 6 76 3 0 12 0 0 3 2 17 5 1 2 2 7 1 0 13 6 2 2 0 0 0 5 9 7 24 2 0 0 0 3 29 Total 27 96 2 14 36 39 214 ==================================================================================================== === Run 3/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 20 38 0 0 0 12 70 2 6 43 7 0 0 20 76 3 2 12 0 0 0 3 17 5 0 2 7 1 2 1 13 6 4 2 0 3 0 0 9 7 3 2 0 24 0 0 29 Total 35 99 14 28 2 36 214 ==================================================================================================== === Run 4/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 21 14 0 35 0 0 70 2 6 20 0 43 0 7 76 3 2 3 0 12 0 0 17 5 0 2 1 2 2 6 13 6 5 0 2 2 0 0 9 7 3 0 25 1 0 0 29 Total 37 39 28 95 2 13 214 ==================================================================================================== === Run 5/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 38 0 0 20 12 0 70 2 43 7 0 6 20 0 76 3 12 0 0 2 3 0 17 5 2 7 1 0 1 2 13 6 2 0 3 4 0 0 9 7 2 0 24 3 0 0 29 Total 99 14 28 35 36 2 214 ==================================================================================================== === Run 6/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 20 35 0 15 0 0 70 2 6 43 7 20 0 0 76 3 2 12 0 3 0 0 17 5 0 2 7 1 1 2 13 6 6 1 0 0 2 0 9 7 3 2 0 0 24 0 29 Total 37 95 14 39 27 2 214 ==================================================================================================== === Run 7/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 39 0 0 11 20 0 70 2 43 0 0 20 6 7 76 3 12 0 0 3 2 0 17 5 4 1 2 2 0 4 13 6 2 3 0 0 4 0 9 7 2 24 0 0 3 0 29 Total 102 28 2 36 35 11 214 ==================================================================================================== === Run 8/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 38 0 0 0 17 15 70 2 43 7 0 0 4 22 76 3 12 0 0 0 2 3 17 5 2 7 1 2 0 1 13 6 5 0 3 0 1 0 9 7 2 0 24 0 3 0 29 Total 102 14 28 2 27 41 214 ==================================================================================================== === Run 9/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 38 17 0 0 0 15 70 2 42 7 0 7 0 20 76 3 12 2 0 0 0 3 17 5 3 5 2 0 1 2 13 6 1 7 0 0 1 0 9 7 1 3 0 0 25 0 29 Total 97 41 2 7 27 40 214 ==================================================================================================== === Run 10/10 - True Labels vs Cluster Assignments === Cluster 0 1 2 3 4 5 Total True Label (Type) 1 20 0 38 12 0 0 70 2 6 0 43 20 7 0 76 3 2 0 12 3 0 0 17 5 0 1 2 1 7 2 13 6 4 3 2 0 0 0 9 7 3 24 2 0 0 0 29 Total 35 28 99 36 14 2 214 ====================================================================================================
co consensus matrix --k means clustering¶
In [5]:
import numpy as np
import pandas as pd
from sklearn.cluster import KMeans
# Consensus matrix (6x6)
consensus_matrix = np.array([
[1.0, 0.9, 0.2, 0.1, 0.1, 0.2],
[0.9, 1.0, 0.2, 0.1, 0.1, 0.2],
[0.2, 0.2, 1.0, 0.8, 0.9, 0.85],
[0.1, 0.1, 0.8, 1.0, 0.85, 0.8],
[0.1, 0.1, 0.9, 0.85, 1.0, 0.9],
[0.2, 0.2, 0.85, 0.8, 0.9, 1.0]
])
# Six distinct types
y_true = pd.Series(['Type A', 'Type B', 'Type C', 'Type D', 'Type E', 'Type F'])
# Each row is treated as a data point
X_consensus = consensus_matrix
# KMeans clustering with 6 clusters
kmeans = KMeans(n_clusters=6, n_init=10, random_state=42)
cluster_labels = kmeans.fit_predict(X_consensus)
# Summary cross-tab
summary_df = pd.crosstab(index=y_true, columns=cluster_labels,
rownames=["True Label (Type)"], colnames=["Cluster"])
summary_df = summary_df.reindex(columns=range(6), fill_value=0)
# Add totals
summary_df['Total'] = summary_df.sum(axis=1)
summary_df.loc['Total'] = summary_df.sum()
# Print the summary
print("=== True Labels vs Clusters (Consensus Matrix) ===")
print(summary_df)
=== True Labels vs Clusters (Consensus Matrix) === Cluster 0 1 2 3 4 5 Total True Label (Type) Type A 0 0 0 0 0 1 1 Type B 0 1 0 0 0 0 1 Type C 1 0 0 0 0 0 1 Type D 0 0 1 0 0 0 1 Type E 0 0 0 0 1 0 1 Type F 0 0 0 1 0 0 1 Total 1 1 1 1 1 1 6
decision tree for one random seed with stopping in consensus¶
In [9]:
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.tree import DecisionTreeClassifier, plot_tree
from sklearn.metrics import classification_report, confusion_matrix
# --- Consensus matrix (6x6) ---
consensus_matrix = np.array([
[1.0, 0.9, 0.2, 0.1, 0.1, 0.2],
[0.9, 1.0, 0.2, 0.1, 0.1, 0.2],
[0.2, 0.2, 1.0, 0.8, 0.9, 0.85],
[0.1, 0.1, 0.8, 1.0, 0.85, 0.8],
[0.1, 0.1, 0.9, 0.85, 1.0, 0.9],
[0.2, 0.2, 0.85, 0.8, 0.9, 1.0]
])
# --- Labels ---
y_true = pd.Series(['Type A', 'Type B', 'Type C', 'Type D', 'Type E', 'Type F'])
# --- Use each row as a feature vector ---
X = consensus_matrix
y = y_true
# --- Train Decision Tree ---
clf = DecisionTreeClassifier(random_state=42)
clf.fit(X, y)
# --- Predict and Evaluate ---
y_pred = clf.predict(X)
print("=== Decision Tree Classification Report ===")
print(classification_report(y, y_pred))
print("\n=== Confusion Matrix ===")
conf_matrix = pd.crosstab(y, y_pred, rownames=["Actual"], colnames=["Predicted"])
print(conf_matrix)
# --- Visualize Decision Tree ---
plt.figure(figsize=(14, 6))
plot_tree(
clf,
feature_names=[f"Point {i+1}" for i in range(X.shape[1])],
class_names=clf.classes_,
filled=True,
rounded=True,
fontsize=10
)
plt.title("Decision Tree for Consensus Matrix Classification")
plt.show()
=== Decision Tree Classification Report ===
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
=== Confusion Matrix ===
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
decision tree for 10 random seed with stopping in consensus¶
In [11]:
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.tree import DecisionTreeClassifier, plot_tree
from sklearn.metrics import classification_report, confusion_matrix
# --- Consensus matrix (6x6) ---
consensus_matrix = np.array([
[1.0, 0.9, 0.2, 0.1, 0.1, 0.2],
[0.9, 1.0, 0.2, 0.1, 0.1, 0.2],
[0.2, 0.2, 1.0, 0.8, 0.9, 0.85],
[0.1, 0.1, 0.8, 1.0, 0.85, 0.8],
[0.1, 0.1, 0.9, 0.85, 1.0, 0.9],
[0.2, 0.2, 0.85, 0.8, 0.9, 1.0]
])
# --- Labels ---
y_true = pd.Series(['Type A', 'Type B', 'Type C', 'Type D', 'Type E', 'Type F'])
# --- Use each row as a feature vector ---
X = consensus_matrix
y = y_true
# --- Loop over 10 random seeds ---
for seed in range(10):
print(f"\n\n=== Random Seed: {seed} ===")
# Train Decision Tree
clf = DecisionTreeClassifier(random_state=seed)
clf.fit(X, y)
# Predict and Evaluate
y_pred = clf.predict(X)
print("\n--- Classification Report ---")
print(classification_report(y, y_pred))
print("--- Confusion Matrix ---")
conf_matrix = pd.crosstab(y, y_pred, rownames=["Actual"], colnames=["Predicted"])
print(conf_matrix)
# Visualize Decision Tree
plt.figure(figsize=(14, 6))
plot_tree(
clf,
feature_names=[f"Point {i+1}" for i in range(X.shape[1])],
class_names=clf.classes_,
filled=True,
rounded=True,
fontsize=10
)
plt.title(f"Decision Tree (Random Seed: {seed})")
plt.tight_layout()
plt.show()
=== Random Seed: 0 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 1 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 2 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 3 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 4 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 5 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 6 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 7 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 8 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
=== Random Seed: 9 ===
--- Classification Report ---
precision recall f1-score support
Type A 1.00 1.00 1.00 1
Type B 1.00 1.00 1.00 1
Type C 1.00 1.00 1.00 1
Type D 1.00 1.00 1.00 1
Type E 1.00 1.00 1.00 1
Type F 1.00 1.00 1.00 1
accuracy 1.00 6
macro avg 1.00 1.00 1.00 6
weighted avg 1.00 1.00 1.00 6
--- Confusion Matrix ---
Predicted Type A Type B Type C Type D Type E Type F
Actual
Type A 1 0 0 0 0 0
Type B 0 1 0 0 0 0
Type C 0 0 1 0 0 0
Type D 0 0 0 1 0 0
Type E 0 0 0 0 1 0
Type F 0 0 0 0 0 1
decision tree without stopping¶
In [3]:
import pandas as pd
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeClassifier, plot_tree
from sklearn.metrics import classification_report
import matplotlib.pyplot as plt
# Load data - using the UCI Glass Identification dataset
# Download from: https://archive.ics.uci.edu/ml/datasets/Glass+Identification
# Column names added for clarity
column_names = [
'ID', 'RI', 'Na', 'Mg', 'Al', 'Si',
'K', 'Ca', 'Ba', 'Fe', 'Glass_Type'
]
data = pd.read_csv("C:\\Users\\Sofiya sultana\\Downloads\\glass.csv")
# Features + target (excluding ID)
features = [
'RI', 'Na', 'Mg', 'Al', 'Si',
'K', 'Ca', 'Ba', 'Fe'
]
X = data[features]
y = data['Type'] # Glass types are integers 1-7
# Train/test split
X_train, X_test, y_train, y_test = train_test_split(
X, y, test_size=0.2, random_state=42, stratify=y
)
# Train decision tree with no max_depth (fully grown tree)
clf = DecisionTreeClassifier(random_state=42)
clf.fit(X_train, y_train)
# Predict
y_pred = clf.predict(X_test)
# Report
print("Classification Report on Test Set:")
print(classification_report(y_test, y_pred))
# Plot tree (be careful — this could be very large!)
plt.figure(figsize=(50, 30)) # Make very large so you can see it better
plot_tree(
clf,
feature_names=X.columns,
class_names=[str(cls) for cls in clf.classes_], # Convert to strings
filled=True,
rounded=True,
fontsize=10
)
plt.title("Decision Tree for Glass Classification")
plt.show()
Classification Report on Test Set:
precision recall f1-score support
1 0.79 0.79 0.79 14
2 0.70 0.47 0.56 15
3 0.50 0.67 0.57 3
5 1.00 0.67 0.80 3
6 0.40 1.00 0.57 2
7 0.75 1.00 0.86 6
accuracy 0.70 43
macro avg 0.69 0.76 0.69 43
weighted avg 0.73 0.70 0.69 43
In [4]:
# clf is your trained DecisionTreeClassifier
n_leaves = clf.get_n_leaves()
print(f"✅ The tree has {n_leaves} leaf nodes.")
✅ The tree has 44 leaf nodes.
In [5]:
# Assuming clf is your trained DecisionTreeClassifier
n_leaves = clf.get_n_leaves()
tree_depth = clf.get_depth()
print(f"✅ The tree has {n_leaves} leaf nodes.")
print(f"✅ The depth of the tree is {tree_depth}.")
✅ The tree has 44 leaf nodes. ✅ The depth of the tree is 12.
In [6]:
from sklearn.tree import _tree
def get_rules(model, feature_names):
# Access the underlying tree structure
tree = model.tree_
# Map feature index to name (or "undefined!" if it's a leaf)
feature_name = [
feature_names[i] if i != _tree.TREE_UNDEFINED else "undefined!"
for i in tree.feature
]
def print_rules(node, depth):
indent = " " * depth # indent for clarity
if tree.feature[node] != _tree.TREE_UNDEFINED:
# It's an internal node: print the decision condition
name = feature_name[node]
threshold = tree.threshold[node]
print(f"{indent}if {name} <= {threshold:.2f}:")
print_rules(tree.children_left[node], depth + 1)
print(f"{indent}else: # if {name} > {threshold:.2f}")
print_rules(tree.children_right[node], depth + 1)
else:
# It's a leaf node: print the class counts
values = tree.value[node][0]
print(f"{indent}predict class counts: {values}")
# Start from the root node (node 0)
print_rules(0, 0)
In [7]:
get_rules(clf, list(X.columns))
if Ba <= 0.34:
if Al <= 1.42:
if Ca <= 10.48:
if Mg <= 3.82:
if RI <= 1.52:
if RI <= 1.52:
if Na <= 15.33:
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Na > 15.33
predict class counts: [0. 0. 0. 0. 1. 0.]
else: # if RI > 1.52
if Ca <= 8.21:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Ca > 8.21
if Si <= 74.10:
if Mg <= 3.59:
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if Mg > 3.59
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Si > 74.10
predict class counts: [0. 0. 0. 0. 0. 1.]
else: # if RI > 1.52
if Fe <= 0.19:
if Mg <= 2.61:
predict class counts: [0. 0. 0. 0. 1. 0.]
else: # if Mg > 2.61
if Mg <= 3.75:
if RI <= 1.52:
if K <= 0.15:
if Ca <= 8.75:
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if Ca > 8.75
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if K > 0.15
if K <= 0.62:
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if K > 0.62
if Mg <= 3.58:
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Mg > 3.58
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if RI > 1.52
if Ca <= 9.32:
if Ca <= 8.68:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Ca > 8.68
predict class counts: [0. 0. 0. 0. 0. 1.]
else: # if Ca > 9.32
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Mg > 3.75
if RI <= 1.52:
if Na <= 13.64:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Na > 13.64
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if RI > 1.52
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Fe > 0.19
if Na <= 13.29:
if Al <= 1.18:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Al > 1.18
if RI <= 1.52:
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if RI > 1.52
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Na > 13.29
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if Mg > 3.82
if Si <= 71.88:
if K <= 0.03:
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if K > 0.03
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Si > 71.88
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Ca > 10.48
if Si <= 73.28:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Si > 73.28
predict class counts: [0. 0. 0. 0. 1. 0.]
else: # if Al > 1.42
if Mg <= 1.98:
if Na <= 13.79:
if RI <= 1.52:
predict class counts: [0. 0. 0. 1. 0. 0.]
else: # if RI > 1.52
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Na > 13.79
predict class counts: [0. 0. 0. 0. 1. 0.]
else: # if Mg > 1.98
if Na <= 13.89:
if Si <= 72.16:
if Fe <= 0.12:
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if Fe > 0.12
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Si > 72.16
if Na <= 12.80:
if Si <= 73.22:
if Na <= 12.46:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Na > 12.46
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Si > 73.22
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Na > 12.80
if Ca <= 8.33:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Ca > 8.33
if Al <= 1.68:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Al > 1.68
if RI <= 1.52:
predict class counts: [0. 0. 1. 0. 0. 0.]
else: # if RI > 1.52
predict class counts: [1. 0. 0. 0. 0. 0.]
else: # if Na > 13.89
if Al <= 1.84:
predict class counts: [0. 0. 0. 0. 1. 0.]
else: # if Al > 1.84
predict class counts: [0. 0. 0. 0. 0. 1.]
else: # if Ba > 0.34
if Si <= 70.16:
if Mg <= 1.34:
predict class counts: [0. 1. 0. 0. 0. 0.]
else: # if Mg > 1.34
predict class counts: [0. 0. 0. 1. 0. 0.]
else: # if Si > 70.16
predict class counts: [0. 0. 0. 0. 0. 1.]
In [8]:
from sklearn.tree import _tree
def extract_rules_list(model, feature_names, class_names):
tree = model.tree_
feature_name = [
feature_names[i] if i != _tree.TREE_UNDEFINED else "undefined!"
for i in tree.feature
]
rules = []
def recurse(node, conditions):
if tree.feature[node] != _tree.TREE_UNDEFINED:
name = feature_name[node]
threshold = tree.threshold[node]
recurse(tree.children_left[node], conditions + [f"{name} <= {threshold:.2f}"])
recurse(tree.children_right[node], conditions + [f"{name} > {threshold:.2f}"])
else:
class_id = tree.value[node][0].argmax()
class_label = class_names[class_id]
rule = "IF " + " AND ".join(conditions) + f" THEN class = {class_label}"
rules.append(rule)
recurse(0, [])
return rules
In [9]:
# After fitting your tree
rules_list = extract_rules_list(clf, list(X.columns), clf.classes_)
# Print all rules at once, numbered
for i, rule in enumerate(rules_list):
print(f"Rule {i+1}: {rule}")
Rule 1: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI <= 1.52 AND Na <= 15.33 THEN class = 1 Rule 2: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI <= 1.52 AND Na > 15.33 THEN class = 6 Rule 3: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI > 1.52 AND Ca <= 8.21 THEN class = 2 Rule 4: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI > 1.52 AND Ca > 8.21 AND Si <= 74.10 AND Mg <= 3.59 THEN class = 3 Rule 5: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI > 1.52 AND Ca > 8.21 AND Si <= 74.10 AND Mg > 3.59 THEN class = 2 Rule 6: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI <= 1.52 AND RI > 1.52 AND Ca > 8.21 AND Si > 74.10 THEN class = 7 Rule 7: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg <= 2.61 THEN class = 6 Rule 8: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI <= 1.52 AND K <= 0.15 AND Ca <= 8.75 THEN class = 3 Rule 9: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI <= 1.52 AND K <= 0.15 AND Ca > 8.75 THEN class = 1 Rule 10: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI <= 1.52 AND K > 0.15 AND K <= 0.62 THEN class = 1 Rule 11: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI <= 1.52 AND K > 0.15 AND K > 0.62 AND Mg <= 3.58 THEN class = 1 Rule 12: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI <= 1.52 AND K > 0.15 AND K > 0.62 AND Mg > 3.58 THEN class = 2 Rule 13: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI > 1.52 AND Ca <= 9.32 AND Ca <= 8.68 THEN class = 2 Rule 14: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI > 1.52 AND Ca <= 9.32 AND Ca > 8.68 THEN class = 7 Rule 15: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg <= 3.75 AND RI > 1.52 AND Ca > 9.32 THEN class = 1 Rule 16: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg > 3.75 AND RI <= 1.52 AND Na <= 13.64 THEN class = 2 Rule 17: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg > 3.75 AND RI <= 1.52 AND Na > 13.64 THEN class = 3 Rule 18: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe <= 0.19 AND Mg > 2.61 AND Mg > 3.75 AND RI > 1.52 THEN class = 1 Rule 19: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe > 0.19 AND Na <= 13.29 AND Al <= 1.18 THEN class = 2 Rule 20: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe > 0.19 AND Na <= 13.29 AND Al > 1.18 AND RI <= 1.52 THEN class = 1 Rule 21: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe > 0.19 AND Na <= 13.29 AND Al > 1.18 AND RI > 1.52 THEN class = 2 Rule 22: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg <= 3.82 AND RI > 1.52 AND Fe > 0.19 AND Na > 13.29 THEN class = 3 Rule 23: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg > 3.82 AND Si <= 71.88 AND K <= 0.03 THEN class = 3 Rule 24: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg > 3.82 AND Si <= 71.88 AND K > 0.03 THEN class = 1 Rule 25: IF Ba <= 0.34 AND Al <= 1.42 AND Ca <= 10.48 AND Mg > 3.82 AND Si > 71.88 THEN class = 2 Rule 26: IF Ba <= 0.34 AND Al <= 1.42 AND Ca > 10.48 AND Si <= 73.28 THEN class = 2 Rule 27: IF Ba <= 0.34 AND Al <= 1.42 AND Ca > 10.48 AND Si > 73.28 THEN class = 6 Rule 28: IF Ba <= 0.34 AND Al > 1.42 AND Mg <= 1.98 AND Na <= 13.79 AND RI <= 1.52 THEN class = 5 Rule 29: IF Ba <= 0.34 AND Al > 1.42 AND Mg <= 1.98 AND Na <= 13.79 AND RI > 1.52 THEN class = 2 Rule 30: IF Ba <= 0.34 AND Al > 1.42 AND Mg <= 1.98 AND Na > 13.79 THEN class = 6 Rule 31: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si <= 72.16 AND Fe <= 0.12 THEN class = 3 Rule 32: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si <= 72.16 AND Fe > 0.12 THEN class = 2 Rule 33: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na <= 12.80 AND Si <= 73.22 AND Na <= 12.46 THEN class = 2 Rule 34: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na <= 12.80 AND Si <= 73.22 AND Na > 12.46 THEN class = 1 Rule 35: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na <= 12.80 AND Si > 73.22 THEN class = 2 Rule 36: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na > 12.80 AND Ca <= 8.33 THEN class = 2 Rule 37: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na > 12.80 AND Ca > 8.33 AND Al <= 1.68 THEN class = 2 Rule 38: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na > 12.80 AND Ca > 8.33 AND Al > 1.68 AND RI <= 1.52 THEN class = 3 Rule 39: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na <= 13.89 AND Si > 72.16 AND Na > 12.80 AND Ca > 8.33 AND Al > 1.68 AND RI > 1.52 THEN class = 1 Rule 40: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na > 13.89 AND Al <= 1.84 THEN class = 6 Rule 41: IF Ba <= 0.34 AND Al > 1.42 AND Mg > 1.98 AND Na > 13.89 AND Al > 1.84 THEN class = 7 Rule 42: IF Ba > 0.34 AND Si <= 70.16 AND Mg <= 1.34 THEN class = 2 Rule 43: IF Ba > 0.34 AND Si <= 70.16 AND Mg > 1.34 THEN class = 5 Rule 44: IF Ba > 0.34 AND Si > 70.16 THEN class = 7
In [ ]: